# In a triangle, one of the sides is 10, the other is 12, and the angle between them is 30 degrees. Find the area of the triangle.

September 12, 2021 | education

| Given:

∆ABS;

a = 10;

b = 12;

∠C = 30 °;

Solution:

The area of a triangle is equal to half the product of the sides by the angle between these sides, which can be written in the form of the formula:

S = ½ * a * b * Sin C;

where:

a and b are the sides of the triangle;

∠C is the angle between these sides.

S = ½ * 10 * 12 * Sin 30 ° = ½ * 10 * 12 * ½ = 5 * 6 = 30;

Sin 30 ° = 1/2;

Answer: 30

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